{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Brent Prices Forecast\n",
    "\n",
    "Divyanshu Vyas | Oil and Gas Data Science"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('BrentOilPrices.csv',index_col=0,parse_dates=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Price</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1987-05-20</th>\n",
       "      <td>18.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-21</th>\n",
       "      <td>18.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-22</th>\n",
       "      <td>18.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-25</th>\n",
       "      <td>18.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-26</th>\n",
       "      <td>18.63</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Price\n",
       "Date             \n",
       "1987-05-20  18.63\n",
       "1987-05-21  18.45\n",
       "1987-05-22  18.55\n",
       "1987-05-25  18.60\n",
       "1987-05-26  18.63"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(figsize=(18,6))\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['d1'] = df['Price'] - df['Price'].shift(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(figsize=(18,6))\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['d1'].plot(figsize=(18,6),legend=True,label='First Difference')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Rolling Mean'] = df['Price'].rolling(window=30).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['Price','Rolling Mean']].plot(figsize=(18,6))\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ETS Decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.seasonal import seasonal_decompose"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1987-05-20', '1987-05-21', '1987-05-22', '1987-05-25',\n",
       "               '1987-05-26', '1987-05-27', '1987-05-28', '1987-05-29',\n",
       "               '1987-06-01', '1987-06-02',\n",
       "               ...\n",
       "               '2020-04-06', '2020-04-07', '2020-04-08', '2020-04-09',\n",
       "               '2020-04-14', '2020-04-15', '2020-04-16', '2020-04-17',\n",
       "               '2020-04-20', '2020-04-21'],\n",
       "              dtype='datetime64[ns]', name='Date', length=8360, freq=None)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = seasonal_decompose(df['Price'],model='multiplicative',period=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.filters.hp_filter import hpfilter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "cycle,trend = hpfilter(df['Price'],lamb=1600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['trend'] = trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Price</th>\n",
       "      <th>d1</th>\n",
       "      <th>Rolling Mean</th>\n",
       "      <th>trend</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1987-05-20</th>\n",
       "      <td>18.63</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.511323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-21</th>\n",
       "      <td>18.45</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.526670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-22</th>\n",
       "      <td>18.55</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.542092</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-25</th>\n",
       "      <td>18.60</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.557614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987-05-26</th>\n",
       "      <td>18.63</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.573267</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Price    d1  Rolling Mean      trend\n",
       "Date                                            \n",
       "1987-05-20  18.63   NaN           NaN  18.511323\n",
       "1987-05-21  18.45 -0.18           NaN  18.526670\n",
       "1987-05-22  18.55  0.10           NaN  18.542092\n",
       "1987-05-25  18.60  0.05           NaN  18.557614\n",
       "1987-05-26  18.63  0.03           NaN  18.573267"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.holtwinters import ExponentialSmoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8360"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5852.0"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.70*8360"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = df.iloc[:5800]\n",
    "\n",
    "test = df.iloc[5800:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:216: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  warnings.warn('A date index has been provided, but it has no'\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:725: RuntimeWarning: invalid value encountered in less_equal\n",
      "  loc = initial_p <= lb\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:731: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  loc = initial_p >= ub\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:390: RuntimeWarning: invalid value encountered in less\n",
      "  if np.any((x0 < lb) | (x0 > ub)):\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:390: RuntimeWarning: invalid value encountered in greater\n",
      "  if np.any((x0 < lb) | (x0 > ub)):\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:405: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  sign_x0 = (x0 >= 0).astype(float) * 2 - 1\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:63: RuntimeWarning: invalid value encountered in less\n",
      "  violated = (x < lb) | (x > ub)\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:63: RuntimeWarning: invalid value encountered in greater\n",
      "  violated = (x < lb) | (x > ub)\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:64: RuntimeWarning: invalid value encountered in less_equal\n",
      "  fitting = np.abs(h_total) <= np.maximum(lower_dist, upper_dist)\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:67: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  forward = (upper_dist >= lower_dist) & ~fitting\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\optimize\\_numdiff.py:69: RuntimeWarning: invalid value encountered in less\n",
      "  backward = (upper_dist < lower_dist) & ~fitting\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:743: ConvergenceWarning: Optimization failed to converge. Check mle_retvals.\n",
      "  warn(\"Optimization failed to converge. Check mle_retvals.\",\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:895: RuntimeWarning: overflow encountered in multiply\n",
      "  (alphac * trended(lvls[i - 1], dampen(b[i - 1], phi)))\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:899: RuntimeWarning: overflow encountered in multiply\n",
      "  s[i + m - 1] = y_gamma[i - 1] / trended(lvls[i - 1], dampen(b[i - 1], phi)) + \\\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:897: RuntimeWarning: invalid value encountered in true_divide\n",
      "  b[i] = (beta * detrend(lvls[i], lvls[i - 1])) + \\\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\holtwinters.py:907: RuntimeWarning: overflow encountered in multiply\n",
      "  trend = trended(lvls, b)\n"
     ]
    }
   ],
   "source": [
    "fitted_model = ExponentialSmoothing(train['Price'],trend='mul',seasonal='mul',seasonal_periods=12).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:580: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  warnings.warn('No supported index is available.'\n"
     ]
    }
   ],
   "source": [
    "test_predictions = fitted_model.forecast(36).rename('HW Forecast')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'Price'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-33-56094bdf303b>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[0mtrain\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'Price'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mtest_predictions\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'Price'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32mC:\\ProgramData\\Anaconda3\\lib\\site-packages\\pandas\\core\\series.py\u001b[0m in \u001b[0;36m__getitem__\u001b[1;34m(self, key)\u001b[0m\n\u001b[0;32m    869\u001b[0m         \u001b[0mkey\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcom\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mapply_if_callable\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    870\u001b[0m         \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 871\u001b[1;33m             \u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    872\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    873\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mis_scalar\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mresult\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mC:\\ProgramData\\Anaconda3\\lib\\site-packages\\pandas\\core\\indexes\\base.py\u001b[0m in \u001b[0;36mget_value\u001b[1;34m(self, series, key)\u001b[0m\n\u001b[0;32m   4403\u001b[0m         \u001b[0mk\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_convert_scalar_indexer\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mkind\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"getitem\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   4404\u001b[0m         \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 4405\u001b[1;33m             \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_value\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ms\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mk\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtz\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mgetattr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mseries\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdtype\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"tz\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   4406\u001b[0m         \u001b[1;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0me1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   4407\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mholds_integer\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mor\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mis_boolean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mpandas\\_libs\\index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_value\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;32mpandas\\_libs\\index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_value\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;32mpandas\\_libs\\index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;32mpandas\\_libs\\index_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.index.Int64Engine._check_type\u001b[1;34m()\u001b[0m\n",
      "\u001b[1;31mKeyError\u001b[0m: 'Price'"
     ]
    },
    {
     "data": {
      "image/png": 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U4bkrczipV9taltZREian+3t1tPlGTVmfuzEm5op9ZsLszvdfqn/3tKWU+7SSn73iOG54bREAaakpDOzSMmzfe3UWG9VWSVl5yG6V1nU4A6YmrOVujIm5wpKKxFqvz9/kvb2voJhX5m3kta83cd4xHWnZOJ1RR/unyM1IS/HOhpm9fAevztvgPXeoKHzCrkiFm4HTubX/3PWXrj6hzspQGWu5G2NirsgnJe6C9RULjlZsq1hodKiojI4tnMVKH90yjEy31ZyRlkJhiRNor3vF6Ze/8qRsAF78omKVaLRt3XeY1k2DW+mlAfPxh/Zwun+G9mxTZ2UJxVruxpiYO1zsHxA9KXV9g/5nq/NY5a4q7dOhOd3d/vbG6WlBKXXnrNgBwLlHd4x6Wdu4Af2u/y4NeT5wsVXjjFQ2TBrNm+OqnpMfTRbcjTExF7iZxZKtzn6jV730TZWP3VdQzIptB7yDsgDXTnFa8Kmp4u0XbxylPC7HdWsNOIO/oYQbaK1vEXXLiEgr4HngaECBa4BVwFtANrAB+Jmq7o2olMaYpHY4oOW9cONeBgZMYwwnd6MTXuau2ul3/Is1u7wLmN64fijd2jaJQkmhUXrlbeLK0iTUp0hb7k8CH6hqX2AgzgbZ44E5qtobmOPeN8aYsAqK/Rf+NG+UVmmOllB8BziH98nib3PWeO+f1KstnaOUpCszrfJvAPES3GvdcheRFsAw4CoAVS0GikXkImCEe9kU4BPgz5EU0hiT3O7733K/+39653uWbt3PwC4t+W7L/mo9x81vLfbe3ldQXO3H1VRmlS33+OiWiaTl3hPIA14SkW9F5HkRaQp0UNVtAO7P9qEeLCLjRCRXRHLz8vJCXWKMaSCaN3JS4f7t8sHeY1PmbQwK0EN6BM84ue2sPkHHiqKYKCxQVrPMSs/vOFBYZ69dE5EE9zTgOOAZVR0M5FODLhhVnayqOaqak5WVFUExjDGJ7MbXF3lnwZxcxarRBy85JuhY7w7Bybe2+wTYFfeNirCE/rq2qbzv/s1vNkf19WorkuC+BdiiqvPd++/gBPsdItIJwP25M8zjjTGG6Uu2eW+np1QekjqG2JQjPTU4eZhveuDGGdHd7egngzsDcOlxXaL6vNFW6z53Vd0uIptF5ChVXQWMBJa7/8YCk9yf06JSUmNM0ksLEag9zj+2E80yg0PWCSG6aupSipuJ8ou1obuTm2akclz31jx4yTGk1+EG2FWJdIXq74HXRSQDWAdcjfNtYKqIXAtsAi6L8DWMMUmktKycPfnFtG/RKGhGTJNKWtk53VuHPN6ikf/WdV3bNGbznsORF7QKOw4UBR1bunU/+cVlfL5mV5XdN3UtouCuqouBnBCnRkbyvMaY5PXCF+t5aOZK2jbN4PM/n+53TkTYMGk0fe6c6U0mdud5/RhxVBZHtm9Wree/YXgv7vxP6NWjde3zNbti8rqhWG4ZY0y98iw22p1fzKHCivntEy852nt7WJ8sZq/YQe/2zbjutB5IqE1Qfbxx/VBSBAZ3a820xVvrpuA+hvfJCjkrxrNt3uvXnVjnZaiKBXdjTL36el1FYrCD7q5FD196LD87oav3+Gw3N0y/Ti2qDOyAX272zCilGahMo/QUQq2x8kzBDOwqigXLLWOMiZlPVjmDku2ah86B/s2GPSGPVybTJ8f6tBtPqV3BqpCWkhIyV7xnpW20Z+jUhgV3Y0yd2X2oiH0hNrb2uP99Z2Vq0wz/ToS2bubFUIuWquJJFNa+eWa189PUVFqqBG0HqKp8vc7ZRaqygeH6Yt0yxpg6c/wDswHYMGl0pdcFToH88JZhPDV3Lbef07fGr9moitwv0ZCaIkFpBnpMmOG9bcHdGJO0ftxX/emITQPmr7drlsk9Fwyo1et6sjbuPBg8VTFaikvL2VpJ/RrVQ79/VaxbxhhTJzwbZvgqKg297V3fji2i9rr1kbZrkZtmOHDXJY+MGC5e8oh9CYwxSalvp+CAvd8nLUBdadXYmany6+E96+w1PPu47s4PPZ7gWcUaSxbcjTF1InADDoD9h53g7jujJdp6ZjXjw5uH1aq/vrqWbHV2YTp50sc8Pmt1nb1OJCy4G2PqRKhFPp7gfsXQ7t5j5wzoEPXXPqpjc1LrsPXs2RikrFx5cs4alv94oM5eq7YsuBtj6sSf3vnee9vTN+0J7hcOPII7zuvrdyyRBM5jP+9vn3tv/+93p9Z3cUKy2TLGmDqXX1RGRpoy4d0lALRsnO7Nw7Jy+8FYFq1WKtts+5guLeuxJOFZy90YE3Wbdhf43T9YVEK/uz/wTk9s2TidCef2A+Dfvzm53ssXqYw6HDOIFmu5G2OiaufBQoY9Mtfv2MFC/w2wWzROp3XTjCoXNyWaPh2ql7myPsT/x48xJqGs3XHIe7tvR2cLPE+aAY+6HOysD9eeGnqa5WqfuseaBXdjTFTNX1+R7MuzLd5XP+yOVXHqRLicN6f1blfPJQnPgrsxJqqenLPGe7tji+A9T5PZmf2iP62ztiIO7iKSKiLfisj77v02IjJLRNa4P0PvjWWMSXodQgT3Di0yY1CS+hEPCcM8otFy/wOwwuf+eGCOqvYG5rj3jWva4q1kj5/Oki37Y10UY+pcYN/6TWccyee3nxGj0tS9nxzXJdZF8IoouItIF2A08LzP4YuAKe7tKcDFkbxGsvm/mSsBuOAfX8S4JMbUvW37/VeptmmakRDTCGsrngaKI/1ffgK4HfBNjdZBVbcBuD/bR/gaSaW4rD5y1hkTG4FZHy8f0tXv/t56SBxmHLWe5y4i5wM7VXWhiIyoxePHAeMAunXrVttiJJziMClPjUlkd/5nCa/P3+QN5tltm9CycTrHdPZfrZmZnryt9utO7RHrIviJ5H/6FOBCEdkAvAmcISKvATtEpBOA+3NnqAer6mRVzVHVnKysrAiKkVgKS0LnfzYmkb0+fxMAbyzYDDiJu6b97lREhD+dc5T3ujEnJF9DrlWTdBbcOZIJ5/WLdVH81Dq4q+oEVe2iqtnAGOBjVb0CeA8Y6142FpgWcSmTSHGY5P6m4ZqxZFvIjS0S2d0+uyid0beiZ7ZN09AbYSeyw8VltG/eKK7626Fu0g9MAqaKyLXAJuCyOngNY5LGb19fBFS9z2giaeaz4XVLd/OMZKVxOowWlQ4wVf1EVc93b+9W1ZGq2tv9uaeqxzdU5eVx+lthTISaN6oI7ke0asygrq14csygGJYo+qZcMwSAsjiN7sk7upEAet4xI+yeksbUp6LSMhasr3k7bF3eIZZuDV6zEbjN3H9vPIWLBnWudfniUa+spoCzYUc8suAeY796YUGsi2BiqMRnDCa/qJTHZ63mQGH9Txe8bkouP3tuHtv3B++eFE5BcSln/PVTzv97w1yz4dkEO9762j0suNez7m2b+N1f6O6ibhom31S4A//fRzw5Zw3H3vtRvZfDs3FGTb5Jfroqz+/+ST3bAnBEy4aRTybdDe6+XVDxxIJ7PSss8f/j8d1L0jQ8B3y2mCuN0df7j1dWzNSp7lTdnQcKvRtveDz4k2MAyDtUFOohSadVk3SuO7UHb//6pFgXJaT4/MhJUtdNyWXHAf9f/PTU+PxKZ6Jrf0EJa/MOcXx3J49eYUkZk2auDNqLs75NmrmSZz/9wXu/Oi33t3M3++2P6tG9jfOt9IJjj4heAeOYiHDX+f1jXYywLLjXo9kh5jJ7vg6b5HbdK9/wzYa9rJl4LumpKbw+fxMvf7Uh5LW929fPbj5l5eoX2AGKSkO33L9au4tHP1rF2zecHDKwZzXPJCVFWHz3WTTNtLASD+xdiLGV2w+y40BhyNSoJnkscWeUFJaUkZ6aErQzka/isnKKSsu46z9LueWsPhzRqnGdlGnnweDB08Buw7dzN7NtfyGPzVoNwL8XbQn5XDeO6AVAqybJt0gpUVmfexw48cE5bN13ONbFMHXI05ddWqb8y12qH87h4jI+X72Ltxdu4d73lgGwfX8hT8xeXaPZLKGUlSv5Rc4g7oMzVnqP/2SwM02xyKfPvbxc+dM733sDO8DtAa32y4d0Y92D5zH25OyIymWiz4J7nNjdQAahGrrtBwq54z9Lwp4/rXc7DheXeRfGeMZYb3t7MU/MXsPQh+YAsP9wCVe+MJ8tewtq9Pq97pjBgHs+5KsfdvGjT4PiBrfl7emW+WjZdnreMaPK58s7WERKiiBiY0fxxoJ7nEjmHNcNXanPXPY1O4M3UB7crZX39jGdW1JQUha0pP3Ltf57kE7/fhufr9nF33y2tKuKb5fLL/45nxF9nIR9z/zyODLd378Nu/PJO1jEuFcXVus5x5zQteqLTExYn3s9qWoVm2dBhEk+R94503s7LcSCl2837ePmM3szrE8WX67ZRVm58tTctQCUlZejAZF+5fYDlJY7HxipKZX/3pSUlXvnY/f9ywd+5w4UltA4PZVzj+nk7e555MNVrN+VX2Wd/nJ+f66NsxS3xp9FlHri+WMFuGlk76Dz8brKzdReflFpUKDcvMfpRhnSo433WJ8Ozbj5zD4c16010777EagYgJ27Ko8eE/y7R371wgJmLXdmXjUKkx/93veWkT1+Or3vnMnanQf5YOn2oGv2FpR4k3r5Ps87C0MPmnq8eFWOBfYEYMG9nnzhM+Xx1rP6sGHSaD68eZj3WJzmHjK1tHbnQQbc8yGnP/qJ3/FPVzurOk/u1ZZ+nVoAMKx3xX4G5x/bqcrn3nmwyDuFtnmYaYe+0yynf7+dG16r6Gbp0tqZffPOwi1sP+C02DPTQs+3X/XAKE50P4jGn9uX5fedwxl9O1RZRhN7FtzriWfa2blHd/QeO6pjc+9ti+3VNzV3M8MfmYuqev/FmzMf+8zv/ts3OKsYv/rB6Ts/s18H2rq5zf+7+EfvdcP6hN+4ZtqNpwQdC1XzwGyjj8+umO1y8aAjQra6MwPGfNJThWevOI7MtFTaNc8EIFWEJhnWk5soLLjXk9Pc1tmFA0Ov3ovHABWvbn/nezbuLuD5z9cz6L5Z/OSZr2JdpCr1d1vpHu1bZPL4z50UuM9deZz3+J5DxWGf49guLYOOhdr8xfMBEsp1p/Xk3KMrvh1cPMj5fQzM4vjoZQMZ5V734CXHcPmQblx9SnbY5zXxx4J7Pel/hPPHPbhb65Dn4zRraMzMXr7DO8fb18VPfem9PXHGCvYfLuHbTfuCFt/Eys4DhXy0LLh/u3G6f7dH26aZZDXPZMOk0RzfvaL/Pbtdk8CHeoWablgcYkXpW7mbQz5+1QOjOLpzSzr6JPa66pSKVvyMm07z3u7os6iuZeN0HvrJMaTZoH9CsXcrSkrKyrn1rcWsywue6uY5D5AWNpdM5dF9b34x9763LOJFLIniuldyQy7PX7x5X8jrA2eCxMqQB+d4pxGe3Kut93hKitCzXVPv/XAD6Ee2r+iq+/7es723/zyqr991lw/pSpumGX4pgz3+992PQcf+dvngkP3qvt8oPA0QgB5ZTYOuNYnFgns1fLd5H//9dmul13y/ZR/vfruVi3xalr48Laz0MK2f/KLKW56D75/Fy19t8C5iaSg8qykB9hWE77KIB4HfHo7u3NIvwF84qGYJtVo0Sue2s/pwdOcW3n7yBXeO5PxjO3HX6P6kiFBQHP735uGfHuudQ98mIC3AoK7O8cD1FR/ePIxHLxtI++aWDiPR1Tq4i0hXEZkrIitEZJmI/ME93kZEZonIGvdn6H6IBHLRU19y81uLq7jKaYn55uf25UnnGjifvU8HJ0nUFc/PD/vMgf3x+w+H3szhjQWbyB4/nZ0HErt1f9Bnswrf/89bQrwHH982vFr5tNflHQqZSyWadgT8v+86WMTLVw/xtsA9rewW1Siv55rfj+zN+78/zRuE2zdvxD9+cRxNM9PYdaiIdxdt9T7v5j0F/NknPcDPcrry7BXH84sTu3FCD/8/w3d/czJrJ54b9LpHdWzOT4/vUt0qmzgWScu9FLhNVfsBQ4EbRaQ/MB6Yo6q9gTnu/Tr329cXMmTi7KhveeUbWA9X0kra5ZM+YP664AGtEm/L3f/r+ClHtgPgYFFpyODz5oJNQfOcX/pyfcjXn/Cus6x9yINzyN2whxteXUj2+FGFZLwAABVRSURBVOlM/35b2HLHI9/smct+dOZ7l5crc93NIe4+vz///FUOH90yjJ5ZzbwfAL5rCQKd8ddPGTKxbr/1DH/kE7/7/Tq1ICMthRaNnLnkR3V0uj1uPP3ISp9nw6TRfH/vOdV+3d53zmT1joOc9vBcb3/7aHdKZYcWjXjwkmOCumRSUsT60JNcrd9dVd2mqovc2weBFUBn4CJginvZFODiSAtZla37DjNjyXZ2Hixid350c7SM/3dFHpBZIVL2er6K/9pnufbPJ38ddJ2ndRXY19rMZ57ykIlzyB4/nezx09lfUMKYyfMY/27F6992Vh8Avlzrnya4rFzJeWC237GfPjuPD9yBvec+80/rWlxaHpebc+88UEhxaTn/XljRBXbtlFw+WOqf52Tsydmc1b8DfTo4/dOeGUiPfLiKLXsLuPKF+Vzz8jeAk0fd9wM/e/z0GudjqQ7fNABHtGzEke2bBU05vODYTvz98sF1sgDo7Mf9p14emVU/aYNN/IrKR7eIZAODgflAB1XdBs4HANA+zGPGiUiuiOTm5eWFuqTahj8813t7857DfLo6j7unLY3oOT18Zx7c9Ma3fuc27s6n718+IHv89KDHTVvs30f//hKn9VzdBEsjH/uUr9f5b1jsafF9s2Evqsq6vEMUlpTRq4oET99v2U/2+OnegN7nrpkMuOdDpn+/LeJW/dfrdlf5bem5T38ge/x07+rMUA4UljDkwTnc8tZivgj48PJdgHPTyN5BH5BPjhnkvT3ikU/4fM0uPl65k735xQy87yOufMG/y+uRD1dVWa+a2LK3wC9z4lcTRjL71uFB0wtFhAsGHhG1FvPfLx8c9lyoNAemYYn4t0xEmgH/Bm5W1QPVfZyqTlbVHFXNycoKv3CjMgs37iV7/HS/7ckufeYrxr64gFfmbeTrEN0j1bWvoDjk9Lrs8dP5y3+dD44bXlvkd+6u0f24yk19+oc3F/ttdLwuL3S+jnMGdAx5fFdAlsgNk0b7BYseE2Zwxl8/DZol8v29Z/Ov60+kXbMMXrv2REYcVfF/e9Ob33o/iA6XlHHjvxZx478W8asXa7dJ9wtfrGfM5K955pPw3SFl5cpDM53Usqc9PDds9stnPnG+XUxfUvmHza9OCt6W0PcD0/d3YfD9s4Dged/TFgfPJonEez6zU6bfdGpUn7syF4RZMwHwuzMq7/oxyS+i4C4i6TiB/XVVfdc9vENEOrnnOwE7IytieL5fPf91/YlB58dM/prs8dO5bkqu99iKbQeqNeA46L5Z3sD5h4BcMK9+vZHXvt7Iim3+n2W/OLGb35S1wffNYtv+w95++1ADaUd3bslD7t6THr798rNvHc6GSaO993O6hx+f3jBpNC0apXNyr3bk3nUWp/Zux8tXD/GW//0wrfTPVuexYP2ekOfC+XLtLu+GE49+5LRa75621LvcvrxcWbp1P//vf/5z1Y8P6D4Cp5vIE9w9xg3ryd0BW5j9/fLBtGuWGbo848+ossyebi3wz9QYKc+wzEtXncCAI4IXGtWlj24ZFnRs8d1nWQpeE9FsGQFeAFao6mM+p94Dxrq3xwLTal+8yrVsks6GSaPZMGk0J/dq5/3Df+7K4/2um71iB3vznZb4uU9+zpAH51T6x702IC1rr/bN/BI9Adzltt6PbN+MVQ+MYu4fR9AkI43GGan857cnA06r9aSHPmbuKufz7bQwS8tHua33JhmpnNijDavud2YxdGvThCMDtlx7PcSHGMAPD54Xtj6BicpGH9OJuX8cwfqHzqOzu8vPz56b5+3vzx4/nVMmfRz2+QqKS/mlz+yeRukp/N8HK3ll3kbW78pn+CNz6XnHDM7/+xe8Mm8j4L8yd82Og3y2Oo/s8dN5aMYK+tw1M+g17jjP+RZ00xlH0rt9M767++xKW6qdWzVmaM82Qcc931xSxJl5cnRnZ1BzTIhxkZqasWQb73//I1v2FtCuWQan9w3ZA1mnPOMOAM0bpTFvwhm2G5IBQGq77F1ETgU+B5YAnkh5B06/+1SgG7AJuExVK20W5uTkaG5ubmWXVEthSRll5UrTzDSWbt3P+X//wu/8hzcP45wnKgae/v2bk+nToRnN3dkMHj995ityN+713t8waTTFpeVBQWjEUVn84xfH+Q2Kevj2w//0+C68s3ALz/8qhzP7R5506WBhCW8s2ET/Ti254oX5fPan0+nWNvzKxsAyrXvwPG8XT1m5hu2zX/XAqKBZFuNeyeWj5cEDy1XZMGk097+/nBe+CJ7p43HtqT28532/rVTXt5v2csnTX/HYzwZy69TvQj7PgvV7+Nlz8wD4/RlHctvZR9X4dcAZIzj23o+899NThTUTw3/A1iXP+1qb/zOT2ERkoarmhDwXDzlNohXcAx1//yx251e98OVP5xzlHazcV1DMoPtmec99fvvpdHV3dT9cXMauQ0Wc5g7gVvbHFGqQ9Z0bTiInO7h1WV+KS8vJLyqldVP/lt1ut06hFsSsf+g8Zi3fQX5xKRcP6uw3LbNJRmqli2h6t29Gigj3XjiAk3q1paC4lP53fxjy2o9uGUa7ZpncNnUx/3fpsbSPcE/ZHQcKads0I+Tg5W1Tv/PuBbrk3rPZk19M97Y1W5H5xOzVPDHbf6OMWAXXNxZsoke7pgzt2bbqi01SabDB3dPKfPGqHK55ueL5598xkhMf9J/znHvXmbRrlukNyqMGdOTZgO4dD1WlXCvPwX7KpI+D9kWdcdNpfku8401pWbnfxhLgjBMcCLEw63enH8n1p/Vkau5mJs5YAcBVJ2cz9uRsTn/0E8ac0JVJlx4b9LgPljrpZ4/p3JJXrx3Cve8t447z+kUczGvi2U9/YNLMlSHPLbhjpLcslzz9JeUanI1RVYPWHsy+dXhQF5oxda3BBve9+cX8kHeInOw23qB94+m9+NM5fRn74gJvbm1wBipfvfZE+t3tDKL6dl1EYu6qnVz90jdcPOgIHv/5oIQZ6HpzwSa/Ofa+3ho3lBPdVqKqUlxWjio0Sg+dEzzehPoQ8+jfqQUz/uAk0PL8zqx+4Fy/Zfq7DxUFDQxbl4iJhcqCe1IvUWvdNMPbDeLZaeaPbh/r3Rc4MzFuH+Xcz9241xvYh/RoE5XADnD6Ue3ZMGk0T4wZnDCBHeCS4zqHPec7uCwiZKalJkxgB0hLTWH2rcGzTACWbzuAqvqlElgeMCvq3v8t996efOXxPP7zgXVTUGMi0GAy76+8/1xU1Rtge2U187a2Hv7Af1FLx3rsIohXmWmpvHLNEH714gJ+Pawnz322DnA+DBPpQyoc3+yLgQK7XC5+6kvWP3Qe+cVlpKeKN73EN3eeSVbz0FMzjYm1BhPcIfzq0Bk3ncZ5f/vce993h6SGbFifLO8H4O2j+ibdPq8L7zrT272y5N6zOcZn9kugRZv2cukz82jXLINd7oYaFthNPEvqbpnq8h3kfGFsDr8e1jOGpYlPyRbYAdr6LIgKnA4LcMuZFYueLn3GmT65q5KdkoyJJw2q5V6Z/954Co3TU63V3sA8OWYQbdypoaMGdOSDZdv55I8j+G7LPi4a1JnzjunIWQFJuSA5P+xMcrHg7vJsXmAalosGVQwc+059zXZ3TerdIfSH/exbh9dtwYyJkHXLGFMF3+3u5v5xBLNvHU6PdrYNnYlv1nI3pgotGqUzb8IZtGuWGXabRGPijQV3Y6qhU8vGsS6CMTVizRBjjElCFtyNMSYJWXA3xpgkZMHdGGOSkAV3Y4xJQhbcjTEmCcVFPncRyQM21uFLtAN21eHzx4LVKXEkY72SsU6QePXqrqohN2eOi+Be10QkN1xC+0RldUocyVivZKwTJFe9rFvGGGOSkAV3Y4xJQg0luE+OdQHqgNUpcSRjvZKxTpBE9WoQfe7GGNPQNJSWuzHGNCgW3I0xJglZcDcmCiTc7uvGxIgF9ziXjEFDRJJxH4HgHbYTnIi0c3+mxros0SIiLX1uJ93flq+ED+4iMkhErheRjrEuS7SISD8ROQlAk2jEW0ROEpF/AifEuizR4tbpbeBREemf6IFQHE1E5A1gGoCqlsW4WBETkRNFZBrwvIhcIyKZyfS3FUrCBncRSReR54AXgOHARBE5McbFioiItHSD35vA/SIyUUSOjHW5okFErseZZrYI+DbRgyCAiLQH/gHMwFmy/gfgGvdcQrYK1VHg3m0nIr8BEJFEjhXHAk8B7wBvA2cASfF3VZmEfcOAY4CWqnq8ql6BU5dEygkRyp9wpqcOBH4NtAWyY1qi6OkG3Kmqz6hqYTK0BoGBwGpVfQn4K/AucJGI9FFVTcQALyJpItIJ2AFcC/xGRFqpankCB/ghwFpVfRWYBTQCNnlOJuL7VB0J9WaJyHEi0se9Wwb8zG3t/gQYCowUkcHutQnxholIDxHxbND5T+BuAFX9AWiF8yGWcNx6Zbq32wBHAwtE5AwR+VBE7nDft0R6ry4Xkf8nIhe6h74FckSkl6rmA98AuTgfzAnRpeZTpwsAVLVUVbcBPYANwKfAeLeO5TEsarX51Oki99D/gEtEZCKwBOgC/E1E/gyJ8T7VRkIEdzdQTMf5avWqiJylqt8BDwNPA88CDwJdgfs8LafYlbhqIpItIjOB54HXROQoVd2oqj+KSIZ72WHgh9iVsuYC6vUvEemnqnuA3cDrwMU479k24G4RGZgA75WIyA3A7TgB7xERuQ44BLyC0x0DsA+YDTRxW79xK0SdHhWRq0WkqYh0B9ar6haclu5vgbdFJFNE4nbgOESdHhaRcaq6A+iLM+h9h6oOBV4GTvWMbSWjuA3uAa25PwKLVfUk4L/Ade7xCcAK4KfuV64ngPXAKfVZ1uoKUaf5qjoSmIvTxz7APefpsugMbHYfm0jvladeHwMPiEgP4B6cbyE/quo0tytjBnBR0BPGGffD5yRgklvuG4ERwEicOhwpIme6LdvdOO/b/hgVt1rC1OlM4DRgL9BDRP4HPILTet+oqkWqWhKrMlclTJ2Gi8i5qroep599i3v5QmAnUBSTwtaDuA0YOP1insCRD3h+qVoCS0Wkv/tmFgE/B1BVzx/W8vovbrV46uSZCrgMQFX/gdMv+AsRaa+qZe5A6h5V/dYd1PqLiLSKSamrFq5eTwHHA+OAPJzW/E99Htce+Kr+ill9IvIrERnudimB04joLCJpqjobWIrTFZgH/At4wn3PRgICZIR63liqRp2+B04F+gBbgXXA8ap6AdBVRI6PScErUc06jXAHvz8E7nFjyhhgAM6HcVKKu/nGInIWzteqVSLymapOFZEvgJ+LyLc4fzj/BaaIyJ3AB8B/RORR4EQqfinjRpg67QEGi8hq97KlQHecQdSdQE/gBBGZCxQCN6vqvhgUP6xq1msZzmBqN1W9Q0T6isgknJbvj+75uOD+0XfECdblOF1iTd0P18043zyOBFbizGh6HGirqq+JSFdgPM7X/+vj5b2qYZ2m4gwMv43z+1bs81QjVTUuvo3UsE5v4bxPR6jqcyIyHJiJE/uuUdW63CQotlQ1bv7hvCHzcb6qD8Z58/7onjsKeNfn2ruBx93bg3AGsS6JdR2qUac3cPowmwN/Ad4HvgBy3Pre5D7ul8Ae4MxY1yFK9brFfVwLnAB4dqzrEFCfVPdnH+A193YazvjAFJz+2heBK3FmaYHTbzvR5zkyYl2PKNRpCnCfe1uAlFjXI0p1ut+9nQ50jHU96uNfzFvunr5kdforTwQWquo099xs4DEReRUn0G12B+hW4PTn3iwiKaq6GFgcmxoEq0ad/gq8rar3i0hPVV3nnvuSij7AN1X19fovfXhRqtdBVV2J06qKObcr6T4gVURm4Hz4lIEzc0REfocz+Nsf50PqYpzZFg/htBq93Urq39KNmQjrVIbzoY060TAuBrujUKev3WtLgO31XoEYiGmfu4hcjTPAcb97aAlwuYhku/fTcbpY7gcOAm2Am0TkD8BzODMT4mo+cTXqlIbzNfJx9/5693HjcOYVL4L4WxUYxXrFRbAAcL+iLwRaA2tx6lYCnC4iQ8D7QXYf8H/q9OFOxpllMd993CcxKHpYVqfEqFO9iOHXq2Y4fed/wPnD7+sefwLnK/6XwGs4/WczgaZAP+D3OF+zhsb6a0+EdZoOdHDP34wzR/qEWNehgdXrNOBKn/tPA78BrsL5VgJOA6gjTj90tnusFdA51uW3OiVunerl/y3Gb1o39+ck4C33dipOC/1U935XN5jHVX9mFOr0MpDp3m8S63I3xHoBTYBMKvpxfwk85N5eDPzevZ0DvBHr8lqdkqdO9fEvpt0yqupZAvwEzrzac9Tpjtivql+4527AmQoZV90U4dSgTgVAqfuYguBnii/JWC9VLVBn7rbnd+ssnKmNAFcD/UTkfZxvJ4tiUcaasjolRp3qQ8wHVAFUdbuIvADcAXyozjzvIcCdOP3u12ic9UFXJRnrBMlZL3GSmCnQAXjPPXwQp45H46zW3Bqj4tWK1cnExR6q7oyXchF5B2fEuwhnsHSNOjlWEk4y1gmSs17ugHwGziKr/+BkdtyN83X/QCzLVltWJxMvLfdyEWmCs2JxBM482w9iW6rIJGOdIDnrpaoqTsK5X+IkzHpJVV+IcbEiYnUycRHcXb/F6S87S1WTJd9DMtYJkrNeW3C6lh6zOsW1ZKxTnYiLbhmo+Lof63JEUzLWCZK3XsYkk7gJ7sYYY6InnrNCGmOMqSUL7sYYk4QsuBtjTBKy4G4aJBEpE5HFIrJMRL4TkVulit2uxNlC8Bf1VUZjImHB3TRUh1V1kKoOwFnOfh7OVoCVyQYsuJuEYLNlTIMkIodUtZnP/Z44GSzb4eyI9SpOJlKA36nqVyLyNU5m0vU4yez+hpNIbQROYqunVPW5equEMZWw4G4apMDg7h7bi7NL1EGgXFULRaQ3TqbBHBEZgbMz2Pnu9eOA9qr6gIhk4qQ+vkydzZiNial4WqFqTKx5Nn1JB/4hIoNwspH2CXP92cCxIuLZ9Lsl0Bt3oxJjYsmCuzF4u2XKcDYnvwfYAQzEGZcqDPcwnKRVH9ZLIY2pARtQNQ2eiGQBzwL/UKefsiWwzU2xcCXOpiTgdNc093noh8BvRCTdfZ4+ItIUY+KAtdxNQ9VYRBbjdMGU4gygPuaeexr4t4hcBszF2SwG4HugVES+w9lx6kmcGTSL3HS0eTgbMxsTczagaowxSci6ZYwxJglZcDfGmCRkwd0YY5KQBXdjjElCFtyNMSYJWXA3xpgkZMHdGGOSkAV3Y4xJQv8fiSDZ3aBctAwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train['Price'].plot()\n",
    "test_predictions['Price'].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x249168f0c10>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.empty(1000)\n",
    "y = np.empty(1000)\n",
    "\n",
    "x[:500] = 1 ; x[520:700] = 10; x[740:] = 100\n",
    "y[:200] = 20 ; y[220:500] = 100; y[600:] = 1000\n",
    "\n",
    "# x[200:250] = np.nan\n",
    "# x[380:470] = np.nan\n",
    "\n",
    "# y[480:780] = np.nan\n",
    "\n",
    "z = np.ones(1000)*1000\n",
    "\n",
    "# z[860:960] = np.nan\n",
    "y = np.ones(1000)*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'X1':x,'X2':y,'Y':z})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Whites represent NaNs')"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "plt.figure(figsize=(8,6))\n",
    "sns.heatmap(df.isnull())\n",
    "plt.title('Whites represent NaNs')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "g = ['Male','Female','Male','Female','Male','Female','Male','Male']\n",
    "\n",
    "data = pd.DataFrame({'Gender' : g})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Gender</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Male</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Female</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Male</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Female</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Male</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Female</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Male</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Male</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Gender\n",
       "0    Male\n",
       "1  Female\n",
       "2    Male\n",
       "3  Female\n",
       "4    Male\n",
       "5  Female\n",
       "6    Male\n",
       "7    Male"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Female</th>\n",
       "      <th>Male</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Female  Male\n",
       "0       0     1\n",
       "1       1     0\n",
       "2       0     1\n",
       "3       1     0\n",
       "4       0     1\n",
       "5       1     0\n",
       "6       0     1\n",
       "7       0     1"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.get_dummies(data['Gender'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
